Cremona's table of elliptic curves

5280 = 2⁵ · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 11+	Signs for the Atkin-Lehner involutions
Class	5280a	Isogeny class
Conductor	5280	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	95040000 = 29 · 33 · 54 · 11	Discriminant
Eigenvalues	2+ 3+ 5+  0 11+ -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3176,69960]	[a1,a2,a3,a4,a6]
Generators	[49:172:1]	Generators of the group modulo torsion
j	6922005943112/185625	j-invariant
L	2.9926266220364	L(r)(E,1)/r!
Ω	1.7645804497503	Real period
R	3.3918845949585	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5280g2 10560ck3 15840bf2 26400bs4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5280a3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	+	0	+	-2	-2	4	4	6	-8	2	-10	4	-4	10	4	-2	4	16	-2	4	16	-14	-6

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Quadratic twists for elliptic curve 5280a3

-4	8	-3	5	-11
5280g2	10560ck3	15840bf2	26400bs4	58080bg4

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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